Finite Group Databasebeta

← Group #13171585

Character table — Group #13171585

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222222244444444444466666666668888888888812121212121212121212121212121212121212121216161616181824242424242424242424242436363636363636363636363636487272108108
order12333466623336666612121222446688121236666666121212224666666612121212121212242424246661224666666121212122424224666881224242424661228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111111111111111-1111111111111111-1-1-1-1111111-11-11111111-1-11-1-1111-1-11-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-11111-1-11111111111111-1-1111-11111-1-1-1-1-111111111-1-1111-111-11-1-111-11-1-1-1-11-1-111-1-111-1-1-1
χ41111111111111111111111-11-111-1-1-1-1111111111111-1-1-1111-11111-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-11-1-1-1-1-1-11-1-1-1-11-1-1-111-1-1111
χ5111111111111111111111-11-11-1-1111111111111111-1111-1-1-11-1-1-1-11111111111111-1-11-111-1-11-11111-1-11-1-1-1-11-1-1-1111-11-1-1
χ6111111111111111111111-11-11-1-1-1-11111111111111-1-111-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1-11-111-1-1-11-1-1-1-11-1-111-1-1-11-111
χ7111111111111111111111-1-1-1-1-1-111-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1111-1-1111-1-11-1-1-1-11-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1
χ9111111111-1111-1-111111111111111111-1-1-1-1-1-11111-1-1-111-1-1111111-1-1111111-1-1-1111-1-1-11-1-1-11-1-111-1-1-11-1-11111111-1-1-1-11
χ10111111111-1111-1-1111111111111-1-1111-1-1-1-1-1-11111-11-111-1-1111111-1-111-1-1-1-1-1-1-11111-111-1-1-11-1-1-1-1-1111-1-1-1-11-1-1-1-11111-1
χ11111111111-1111-1-11111111-11-11111-1-11-1-1-1-1-1-11111-1-11-11-1-1-11111-111-1-11111-1-1-11-1-1-1-1-1-1-1-11111111-11-1111-1-111-1-1-1-111-1
χ12111111111-1111-1-11111111-11-111-1-1-1-11-1-1-1-1-1-11111-111-11-1-1-11111-111-1-1-1-1-1-1-1-1-11-1-11-11-1-1-11111-1-111-1-111-11-1-1-11111-1-11
χ13111111111-1111-1-1111111-11-11-1-111111-1-1-1-1-1-111111-1-11-1111-1-1-1-11-1-1111111-1-1-11-1-1-11-1111-1-1-1-11111-1-111-11-1-1-111-11-11-1
χ14111111111-1111-1-1111111-11-11-1-1-1-1111-1-1-1-1-1-1111111-11-1111-1-1-1-11-1-111-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-11-11-1111-1-111-1-11-11-11
χ15111111111-1111-1-1111111-1-1-1-1-1-111-1-11-1-1-1-1-1-111111-11-1-111-1-1-1-1-1-111-1-11111-1-1-1111-11-1-1111-11111-1111-1-1-1-11-1-1-1-1-111-11
χ16111111111-1111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1111-111-1-1-1-1-11-1-111111111-1-11-1
χ1722222-2222022200222-2-2-222-2-22200-2-220000002-2-2-20002200222-2-2-200-2-20000000-2-220002000-20000000-200002000000000
χ1822222-2222022200222-2-2-22-2-2222002220000002-2-2-2000-2200-222-2-2200220000000-22-2000-2000-2000000020000-2000000000
χ1922222-2222022200222-2-2-2-222-2-2-200-2-220000002-2-2-20002-2002-2-222-200-2-20000000-22-200020002000000020000-2000000000
χ2022222-2222022200222-2-2-2-2-222-2-2002220000002-2-2-2000-2-200-2-2-222200220000000-2-22000-200020000000-200002000000000
χ212222-122-122-12-1-1-12-1-1-1222222220022-122-1-1-1-1-1-1-122022-1-1-1-1-1-12-1-1-1-1-1-100002-1-1-122020-1-1-12-1-1-100200-1-1-100-1000000000
χ222222-122-122-12-1-1-12-1-1-1222-22-22200-2-2-122-1-1-1-1-1-1-1220-2-2-1-1-11-1-12-11111100002-1-1-1-2-20201-1-1-2-11100-200111001000000000
χ232222-122-122-12-1-1-12-1-1-122-22-22-2-20022-122-1-1-1-1-1-1-12-2022111-111-21-1-1-1-1-100002-1-1-1-2-20-20-11121-1-100-200111001000000000
χ242222-122-122-12-1-1-12-1-1-122-2-2-2-2-2-200-2-2-122-1-1-1-1-1-1-12-20-2-2111111-211111100002-1-1-1220-20111-211100200-1-1-100-1000000000
χ252222-122-12-2-12-1112-1-1-1222222220022-1-2-21111-1-1-12-20-22-111-1-1-12-1-111-1-10000-211-1220-20-111-2-11100-200-11100-1000000000
χ262222-122-12-2-12-1112-1-1-1222-22-22200-2-2-1-2-21111-1-1-12-202-2-1111-1-12-11-1-1110000-211-1-2-20-201112-1-1-1002001-1-1001000000000
χ272222-122-12-2-12-1112-1-1-122-22-22-2-20022-1-2-21111-1-1-1220-221-1-1-111-21-111-1-10000-211-1-2-2020-1-1-1-2111002001-1-1001000000000
χ282222-122-12-2-12-1112-1-1-122-2-2-2-2-2-200-2-2-1-2-21111-1-1-12202-21-1-1111-211-1-1110000-211-1220201-1-121-1-100-200-11100-1000000000
χ292222-1-22-120-12-1−i3i32-1-11-2-222-2-22200-2-2-100−i3i3−i3i3-111-20002-1−i3i3-1-1-1-211−i3i31100000−i3i31-22000-1−i3i301−i3i3000001−i3i300-1000000000
χ302222-1-22-120-12-1−i3i32-1-11-2-22-2-22220022-100−i3i3−i3i3-111-2000-2-1−i3i31-1-1-21-1i3−i3-1-100000−i3i312-20001−i3i301i3−i300000-1i3−i3001000000000
χ312222-1-22-120-12-1−i3i32-1-11-2-2-222-2-2-200-2-2-100−i3i3−i3i3-111-200021i3−i3-1112-11−i3i31100000−i3i312-2000-1i3−i30-1−i3i300000-1i3−i3001000000000
χ322222-1-22-120-12-1−i3i32-1-11-2-2-2-222-2-20022-100−i3i3−i3i3-111-2000-21i3−i31112-1-1i3−i3-1-100000−i3i31-220001i3−i30-1i3−i3000001−i3i300-1000000000
χ332222-1-22-120-12-1i3−i32-1-11-2-222-2-22200-2-2-100i3−i3i3−i3-111-20002-1i3−i3-1-1-1-211i3−i31100000i3−i31-22000-1i3−i301i3−i3000001i3−i300-1000000000
χ342222-1-22-120-12-1i3−i32-1-11-2-22-2-22220022-100i3−i3i3−i3-111-2000-2-1i3−i31-1-1-21-1−i3i3-1-100000i3−i312-20001i3−i301−i3i300000-1−i3i3001000000000
χ352222-1-22-120-12-1i3−i32-1-11-2-2-222-2-2-200-2-2-100i3−i3i3−i3-111-200021−i3i3-1112-11i3−i31100000i3−i312-2000-1−i3i30-1i3−i300000-1−i3i3001000000000
χ362222-1-22-120-12-1i3−i32-1-11-2-2-2-222-2-20022-100i3−i3i3−i3-111-2000-21−i3i31112-1-1−i3i3-1-100000i3−i31-220001−i3i30-1−i3i3000001i3−i300-1000000000
χ37222-122-12222-1-122-1-122-122020-1-12200-12-122-1-1-1-12-122002220-1-1-120000022-1-1-1-1-1-1002-1-10-1-10-100-1-1020000200-1-100-1-1000
χ38222-122-12222-1-122-1-122-122020-1-1-2-200-12-122-1-1-1-12-12-2002220-1-1-1200000-2-211-1-1-1-100-2-110-1-10-100110-20000-200110011000
χ39222-122-12222-1-122-1-122-12-20-20112200-12-122-1-1-1-12-1-2200-2-2-20111-20000022-1-1-1-1-1-10021-10110100-1-10-20000-2001100-11000
χ40222-122-12222-1-122-1-122-12-20-2011-2-200-12-122-1-1-1-12-1-2-200-2-2-20111-200000-2-211-1-1-1-100-211011010011020000200-1-1001-1000
χ41222-122-122-22-1-1-2-2-1-122-122020-1-12200-1-21-2-211-1-12-1-2-2002-2-20-1-1-120000022-1-1111-100-2110110-100-1-10-20000200-1-10011000
χ42222-122-122-22-1-1-2-2-1-122-122020-1-1-2-200-1-21-2-211-1-12-1-22002-2-20-1-1-1200000-2-211111-10021-10110-10011020000-2001100-1-1000
χ43222-122-122-22-1-1-2-2-1-122-12-20-20112200-1-21-2-211-1-12-12-200-2220111-20000022-1-1111-100-2-110-1-10100-1-1020000-20011001-1000
χ44222-122-122-22-1-1-2-2-1-122-12-20-2011-2-200-1-21-2-211-1-12-12200-2220111-200000-2-211111-1002-1-10-1-10100110-20000200-1-100-11000
χ4522-122222-12-1-1222-12-122-102020022-1-1-1-12-1-122-12-1-1022-100020000222-1-1-1-122-1-1-1-100-102-100-10-1-1-1-100200002000-1-1-10-100
χ4622-122222-12-1-1222-12-122-1020200-2-2-1-1-1-12-1-122-12-1-10-22-100020000222-1-111-2-2-1-1-1-10010-2-100-10-1-11100-20000-20001110100
χ4722-122222-12-1-1222-12-122-10-20-2002211-1-12-1-122-12-1-102-21000-20000-2-2-211-1-122-1-1-1-100-1021001011-1-100-20000-200011-10100
χ4822-122222-12-1-1222-12-122-10-20-200-2-211-1-12-1-122-12-1-10-2-21000-20000-2-2-21111-2-2-1-1-1-10010-210010111100200002000-1-110-100
χ4922-122222-1-2-1-12-2-2-12-122-102020022-1-1-11-211-2-2-12-1-10-2-2-1000200002-2-2-1-1-1-122111-10010-2-1001011-1-100-200002000-1-110100
χ5022-122222-1-2-1-12-2-2-12-122-1020200-2-2-1-1-11-211-2-2-12-1-102-2-1000200002-2-2-1-111-2-2111-100-102-1001011110020000-200011-10-100
χ5122-122222-1-2-1-12-2-2-12-122-10-20-2002211-11-211-2-2-12-1-10-221000-20000-22211-1-122111-10010-2100-10-1-1-1-10020000-20001110-100
χ5222-122222-1-2-1-12-2-2-12-122-10-20-200-2-211-11-211-2-2-12-1-10221000-20000-2221111-2-2111-100-102100-10-1-11100-200002000-1-1-10100
χ53444-24-4-24404-2-200-2-24-42-440-40-2-20000-2000000-22-4200004000-2-22-4000000000000200000000020000000000000000000000
χ54444-24-4-24404-2-200-2-24-42-4-4040220000-2000000-22-420000-400022-240000000000002000000000-20000000000000000000000
χ55444-2-24-2-244-2-21-2-2-21-2-2-244040-2-2000014-2-2-21111-2-24000-2-2-2011-2-2000000000-2111000-20011010000000000000000000000
χ56444-2-24-2-244-2-21-2-2-21-2-2-24-40-4022000014-2-2-21111-2-2-40002220-1-122000000000-2111000200-1-10-10000000000000000000000
χ57444-2-24-2-24-4-2-2122-21-2-2-244040-2-200001-4222-1-111-2-2-4000-222011-2-20000000002-1-11000200-1-1010000000000000000000000
χ58444-2-24-2-24-4-2-2122-21-2-2-24-40-402200001-4222-1-111-2-240002-2-20-1-1220000000002-1-11000-200110-10000000000000000000000
χ59444-2-2-4-2-240-2-21−2i32i3-21-222-440-40-2-20000100−2i32i3i3−i31-1220000-2−2i32i3011220000000000i3−i3-1000000i3−i30-10000000000000000000000
χ60444-2-2-4-2-240-2-21−2i32i3-21-222-4-4040220000100−2i32i3i3−i31-122000022i3−2i30-1-1-2-20000000000i3−i3-1000000−i3i3010000000000000000000000
χ61444-2-2-4-2-240-2-212i3−2i3-21-222-440-40-2-200001002i3−2i3−i3i31-1220000-22i3−2i3011220000000000−i3i3-1000000−i3i30-10000000000000000000000
χ62444-2-2-4-2-240-2-212i3−2i3-21-222-4-40402200001002i3−2i3−i3i31-12200002−2i32i30-1-1-2-20000000000−i3i3-1000000i3−i3010000000000000000000000
χ6344-244-444-20-2-2400-24-2-4-42040-4000022-2000000-2-422000-200040000-400220000000200000-200000000000000000000000000
χ6444-244-444-20-2-2400-24-2-4-420-4040000-2-2-2000000-2-4220002000-40000400-2-20000000200000200000000000000000000000000
χ6544-24-244-2-241-2-2-2-2-2-21-24-204040000-2-21-2411-2-21-21-2004-2000-20000-2-2-2110000-211100000100-201100000000000000000000
χ6644-24-244-2-241-2-2-2-2-2-21-24-20-40-40000221-2411-2-21-21-200-4200020000222-1-10000-211100000-10020-1-100000000000000000000
χ6744-24-244-2-2-41-2-222-2-21-24-204040000-2-212-4-1-1221-21-200-4-2000-20000-2221100002-1-110000010020-1-100000000000000000000
χ6844-24-244-2-2-41-2-222-2-21-24-20-40-400002212-4-1-1221-21-20042000200002-2-2-1-100002-1-1100000-100-201100000000000000000000
χ6944-24-2-44-2-201-2-2−2i32i3-2-212-42040-4000022100i3−i3−2i32i312-12000-2000-200002−2i32i3-1-100000i3−i3-10000010000i3−i300000000000000000000
χ7044-24-2-44-2-201-2-2−2i32i3-2-212-420-4040000-2-2100i3−i3−2i32i312-12000200020000-22i3−2i31100000i3−i3-100000-10000−i3i300000000000000000000
χ7144-24-2-44-2-201-2-22i3−2i3-2-212-42040-4000022100−i3i32i3−2i312-12000-2000-2000022i3−2i3-1-100000−i3i3-10000010000−i3i300000000000000000000
χ7244-24-2-44-2-201-2-22i3−2i3-2-212-420-4040000-2-2100−i3i32i3−2i312-12000200020000-2−2i32i31100000−i3i3-100000-10000i3−i300000000000000000000
χ7344-2-244-24-24-21-2441-2-24-2-200000044001-2-2-2-2-2-21-2-2104000000000000000-2-2-2-2111100-20-2000000011000000000000010000
χ7444-2-244-24-24-21-2441-2-24-2-2000000-4-4001-2-2-2-2-2-21-2-210-400000000000000022221111002020000000-1-10000000000000-10000
χ7544-2-244-24-2-4-21-2-4-41-2-24-2-2000000440012222221-2-210-4000000000000000-2-2-2-2-1-1-11002020000000110000000000000-10000
χ7644-2-244-24-2-4-21-2-4-41-2-24-2-2000000-4-40012222221-2-21040000000000000002222-1-1-1100-20-20000000-1-1000000000000010000
χ774-44440-4-4-4044400-4-4-400000000022−22004000000-40000000000000000000022−2222−22000000000000000022−22000000000000000000
χ784-44440-4-4-4044400-4-4-4000000000−2222004000000-400000000000000000000−2222−22220000000000000000−2222000000000000000000
χ794-44-2402-4-404-2-20022-40000000−2i32i322−2200-2000000200000000000−2i32i3000000022−22−220000000000000000−22000000000i6−i60000000
χ804-44-2402-4-404-2-20022-40000000−2i32i3−222200-2000000200000000000−2i32i30000000−22222−200000000000000002−2000000000−i6i60000000
χ814-44-2402-4-404-2-20022-400000002i3−2i322−2200-20000002000000000002i3−2i3000000022−22−220000000000000000−22000000000−i6i60000000
χ824-44-2402-4-404-2-20022-400000002i3−2i3−222200-20000002000000000002i3−2i30000000−22222−200000000000000002−2000000000i6−i60000000
χ834-4-2440-4-420-2-24002-4200000000022−2223−23-2000000200000000000000000023−23−2222−220000000000000000−22000000000006−600000
χ844-4-2440-4-420-2-24002-4200000000022−22−2323-20000002000000000000000000−2323−2222−220000000000000000−2200000000000−6600000
χ854-4-2440-4-420-2-24002-42000000000−222223−23-2000000200000000000000000023−232−2−222200000000000000002−200000000000−6600000
χ864-4-2440-4-420-2-24002-42000000000−2222−2323-20000002000000000000000000−23232−2−222200000000000000002−2000000000006−600000
χ8788-4-48-8-48-40-42-4002-4-4-84400000000002000000244-2000000000000000000000000-200000000000000000000000000000000
χ8888-4-4-48-4-4-48222-4-4222-4-4-40000000000-1-4-42222-12220000000000000000000002-1-1-100000000000000000000000000000000
χ8988-4-4-48-4-4-4-822244222-4-4-40000000000-144-2-2-2-2-1222000000000000000000000-211-100000000000000000000000000000000
χ9088-4-4-4-8-4-4-40222−4i34i32224440000000000-1002i3−2i32i3−2i3-1-2-2-20000000000000000000000−i3i3100000000000000000000000000000000
χ9188-4-4-4-8-4-4-402224i3−4i32224440000000000-100−2i32i3−2i32i3-1-2-2-20000000000000000000000i3−i3100000000000000000000000000000000
χ928-888-40-84-80-48-400-8440000000000000-40000004000000000000000000000000000000000000000000000000000000000000
χ938-88-4-4044-80-4-42004-240000000−4i34i300002000000-2000000000002i3−2i300000000000000000000000000000000000000000000000
χ948-88-4-4044-80-4-42004-2400000004i3−4i300002000000-200000000000−2i32i300000000000000000000000000000000000000000000000
χ958-8-48-40-84402-4-40044-20000000000043−432000000-2000000000000000000−23230000000000000000000000000000000000000000
χ968-8-48-40-84402-4-40044-200000000000−43432000000-200000000000000000023−230000000000000000000000000000000000000000
χ978-8-4-4804-840-42-400-24400000000042−42002000000-200000000000000000000−2222−222200000000000000002−2000000000000000000
χ988-8-4-4804-840-42-400-244000000000−4242002000000-20000000000000000000022−2222−220000000000000000−22000000000000000000
χ9916-16-8-8-80888044400-4-4-40000000000000-20000002000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).